{
  "id": "math/9807095",
  "version": "v2",
  "published": "1998-07-17T04:51:11.000Z",
  "updated": "2000-11-14T23:32:06.000Z",
  "title": "Structure and Isomorphism Classification of Compact Quantum Groups A_u(Q) and B_u(Q)",
  "authors": [
    "Shuzhou Wang"
  ],
  "comment": "13 pages. To appear in Journal of Operator Theory. Details left out in the original version are filled in",
  "journal": "Journal of Operator Theory 48 (2002), 573-583",
  "categories": [
    "math.OA",
    "math.QA"
  ],
  "abstract": "We classify the compact quantum groups $A_u(Q)$ (resp. $B_u(Q)$) up to isomorphism when $Q>0$ (resp. when $Q \\bar{Q} \\in {\\mathbb R} I_n$). We show that the general $A_u(Q)$'s and $B_u(Q)$'s for arbitrary $Q$ have explicit decompositions into free products of these special $A_u(Q)$'s and $B_u(Q)$'s.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2000-11-14T23:32:06.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "compact quantum groups",
      "isomorphism classification",
      "free products",
      "explicit decompositions"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "1998math......7095W"
    }
  }
}